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Triple point in correlated interdependent networks.

L D Valdez1, P A Macri1, H E Stanley2

  • 1Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, CONICET, Funes 3350, (7600) Mar del Plata, Argentina.

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Summary
This summary is machine-generated.

Interdependent networks are fragile. A study on network failures and the "rich club" effect reveals a phase diagram separating functional and nonfunctional system states.

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Area of Science:

  • Network science
  • Complex systems analysis
  • Systems engineering

Background:

  • Real-world systems often consist of multiple interdependent networks.
  • The failure of nodes in one network can trigger cascading failures across interdependent systems.
  • These 'networks of networks' exhibit significant fragility.

Purpose of the Study:

  • To model and analyze the dynamic failure cascades in interdependent networks.
  • To investigate the impact of the 'rich club' phenomenon on system robustness.
  • To characterize the phase transitions between functional and nonfunctional states in these systems.

Main Methods:

  • Development of dynamic equations to simulate failure propagation in two interdependent networks.
  • Analysis of arbitrary interdependency patterns.
  • Study of the 'rich club' effect by correlating high-degree nodes.

Main Results:

  • A dynamic model successfully reproduces failure cascades for various interdependency structures.
  • A rich phase diagram was identified in the p-α plane, characterizing system behavior.
  • A triple point was observed, separating nonfunctional and two distinct functional phases.

Conclusions:

  • Interdependent network systems are susceptible to catastrophic failures.
  • The 'rich club' configuration significantly influences system resilience and phase transitions.
  • Understanding these dynamics is crucial for designing robust complex network systems.